Predictions of the average surface separation and stiffness between contacting elastic and elastic–plastic sinusoidal surfaces

Rostami, Amir; Jackson, Robert L.

doi:10.1177/1350650113495188

Cited by 29 publications

(12 citation statements)

References 55 publications

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“…Details of the method for adhesionless contacts are described in the literature [51]. Adhesion was included in the current treatment by using the average gap between the surfaces, which is estimated with a method proposed for surfaces with sinusoidal waviness [52]. RLJ, YX, JS, and AR also submitted results that were obtained with a modification of the original MS Archard concept [51].…”

Section: Two Archard-based Modelsmentioning

confidence: 99%

Meeting the Contact-Mechanics Challenge

et al. 2017

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This paper summarizes the submissions to a recently announced contact-mechanics modeling challenge. The task was to solve a typical, albeit mathematically fully defined problem on the adhesion between nominally flat surfaces. The surface topography of the rough, rigid substrate, the elastic properties of the indenter, as well as the short-range adhesion between indenter and substrate, were specified so that diverse quantities of interest, e.g., the distribution of interfacial stresses at a given load or the mean gap as a function of load, could be computed and compared to a reference solution. Many different solution strategies were pursued, ranging from traditional asperity-based models via Persson theory and brute-force computational approaches, to real-laboratory experiments and all-atom molecular dynamics simulations of a model, in which the original assignment was scaled down to the atomistic scale. While each submission contained satisfying answers for at least a subset of the posed questions, efficiency, versatility, and accuracy differed between methods, the more precise methods being, in general, computationally more complex. The aim of this paper is to provide both theorists and experimentalists with benchmarks to decide which method is the most appropriate for a particular application and to gauge the errors associated with each one

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Section: Two Archard-based Modelsmentioning

confidence: 99%

Meeting the Contact-Mechanics Challenge

et al. 2017

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“…(44), one can then fit additional equations to finite element results to predict the real contact area and surface separation as a function of the average pressure, as was performed in Refs. [116] and [132]. The resulting equation for predicting the real contact area, A, as a function of the average pressure is given by…”

Section: Three-dimensional Sinusoidal Contactmentioning

confidence: 99%

A Review of Elastic–Plastic Contact Mechanics

Ghaednia

Wang

Saha

et al. 2017

Applied Mechanics Reviews

208

120

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In typical metallic contacts, stresses are very high and result in yielding of the material. Therefore, the study of contacts which include simultaneous elastic and plastic deformation is of critical importance. This work reviews the current state-of-the-art in the modeling of single asperity elastic–plastic contact and, in some instances, makes comparisons to original findings of the authors. Several different geometries are considered, including cylindrical, spherical, sinusoidal or wavy, and axisymmetric sinusoidal. As evidenced by the reviewed literature, it is clear that the average pressure during heavily loaded elastic–plastic contact is not governed by the conventional hardness to yield strength ratio of approximately three, but rather varies according to the boundary conditions and deformed geometry. For spherical contact, the differences between flattening and indentation contacts are also reviewed. In addition, this paper summarizes work on tangentially loaded contacts up to the initiation of sliding. As discussed briefly, the single asperity contact models can be incorporated into existing rough surface contact model frameworks. Depending on the size of a contact, the material properties can also effectively change, and this topic is introduced as well. In the concluding discussion, an argument is made for the value of studying hardening and other failure mechanisms, such as fracture as well as the influence of adhesion on elastic–plastic contact.

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“…For instance, Johnson et al 24 presented an analytical solution for the pressure required to flatten such a surface. Although no other exact analytical solution exists, fitted curves relating the average separation and the contact area to the applied load can be found in Rostami and Jackson 25 and Xu et al 26 A more detailed analysis was performed by Yastrevob et al, 27 who studied the contact area evolution, giving special focus to the percolation threshold. Also of relevance are the works on multiscale sinusoidal surfaces (with a Weierstrass profile) performed by Clavarella et al 28 (elastic) and Gao and Bower 29 (elastic-plastic), as they are closer to real surfaces.…”

Section: Introductionmentioning

confidence: 99%

On the flow through plastically deformed surfaces under unloading: A spectral approach

Pérez-Ràfols

Larsson

Riet

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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This study considers flow through the gap left between two surfaces during unloading, in other words, when an applied load is gradually reduced after loading to a state where plastic deformation occurs. In particular, the permeability of the gap is studied. It was found that a substantial reduction of the applied load is required before the permeability starts to increase significantly. The explanation for this phenomenon is given by the combination of components with different wavelengths present in the surface. Components with long wavelengths deform elastically and those with shorter wavelengths may also deform plastically. We found that plastic deformation acts to keep the permeability nearly constant at the beginning of the unloading and elastic spring-back is responsible for the rapid increase at lower loads. This principle constitutes a basis for the strategy that was developed in order to predict the load at which the rapid increase of permeability starts.

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Predictions of the average surface separation and stiffness between contacting elastic and elastic–plastic sinusoidal surfaces

Cited by 29 publications

References 55 publications

Meeting the Contact-Mechanics Challenge

Meeting the Contact-Mechanics Challenge

A Review of Elastic–Plastic Contact Mechanics

On the flow through plastically deformed surfaces under unloading: A spectral approach

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